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Finding the Third Proportional to 201,808,827 and 315,885,932.50

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Solution

The third proportional to 201,808,827 and 315,885,932.50 is: 494,447,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,808,827 : 315,885,932.50 = 315,885,932.50 : x
  2. Step 2: Convert to fraction form
    201,808,827/315,885,932.50 = 315,885,932.50/x
  3. Step 3: Cross multiply
    201,808,827x = 315,885,932.50 × 315,885,932.50
  4. Step 4: Simplify right side
    201,808,827x = 99,783,922,351,394,560
  5. Step 5: Solve for x
    x = 99,783,922,351,394,560/201,808,827
  6. Step 6: Final answer
    x = 494,447,759.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.